Finding the Third Proportional to 277,401 and 406,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,401 : 406,225.50 = 406,225.50 : x
2. Step 2: Convert to fraction form
   277,401/406,225.50 = 406,225.50/x
3. Step 3: Cross multiply
   277,401x = 406,225.50 × 406,225.50
4. Step 4: Simplify right side
   277,401x = 165,019,156,850.25
5. Step 5: Solve for x
   x = 165,019,156,850.25/277,401
6. Step 6: Final answer
   x = 594,875.85